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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Chapter Review

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Exercise 11 Page 716

Recall the formula for a permutation, _n P_r = n!/(n-r)!.

1 037 836 800

Practice makes perfect

To evaluate the given expression, we will use the formula for permutation _n P_r. _n P_r = n!/(n-r)! We are given that n=13 and r=10. Let's substitute these values into the formula.

_n P_r = n!/(n-r)!

n= 13, r= 10

_(13) P_(10) = 13!/( 13- 10)!

Subtract term

_(13) P_(10) = 13!/3!

Write as a product

_(13) P_(10) = 13* 12* 11* 10* 9* 8* 7* 6* 5* 4* 3!/3!

a/b=.a /(3!)./.b /(3!).

_(13) P_(10) = 13* 12* 11* 10* 9* 8* 7* 6* 5* 4/1

a/1=a

_(13) P_(10) = 13* 12* 11* 10* 9* 8* 7* 6* 5* 4

Multiply

_(13) P_(10) = 1 037 836 800

Subchapter links

Exercises p.714-716